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TRS Standard pair #516965606
details
property
value
status
complete
benchmark
z08.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n076.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.406419992447 seconds
cpu usage
0.305794673
max memory
7327744.0
stage attributes
key
value
output-size
1764
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S x:S) (RULES f(a,f(b,f(a,x:S))) -> f(a,f(b,f(b,f(a,x:S)))) f(b,f(b,f(b,x:S))) -> f(b,f(b,x:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: F(a,f(b,f(a,x:S))) -> F(a,f(b,f(b,f(a,x:S)))) F(a,f(b,f(a,x:S))) -> F(b,f(b,f(a,x:S))) -> Rules: f(a,f(b,f(a,x:S))) -> f(a,f(b,f(b,f(a,x:S)))) f(b,f(b,f(b,x:S))) -> f(b,f(b,x:S)) Problem 1: SCC Processor: -> Pairs: F(a,f(b,f(a,x:S))) -> F(a,f(b,f(b,f(a,x:S)))) F(a,f(b,f(a,x:S))) -> F(b,f(b,f(a,x:S))) -> Rules: f(a,f(b,f(a,x:S))) -> f(a,f(b,f(b,f(a,x:S)))) f(b,f(b,f(b,x:S))) -> f(b,f(b,x:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(a,f(b,f(a,x:S))) -> F(a,f(b,f(b,f(a,x:S)))) ->->-> Rules: f(a,f(b,f(a,x:S))) -> f(a,f(b,f(b,f(a,x:S)))) f(b,f(b,f(b,x:S))) -> f(b,f(b,x:S)) Problem 1: Reduction Pair Processor: -> Pairs: F(a,f(b,f(a,x:S))) -> F(a,f(b,f(b,f(a,x:S)))) -> Rules: f(a,f(b,f(a,x:S))) -> f(a,f(b,f(b,f(a,x:S)))) f(b,f(b,f(b,x:S))) -> f(b,f(b,x:S)) -> Usable rules: f(a,f(b,f(a,x:S))) -> f(a,f(b,f(b,f(a,x:S)))) f(b,f(b,f(b,x:S))) -> f(b,f(b,x:S)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 2 ->Bound: 1 ->Interpretation: [f](X1,X2) = [0 1;1 1].X1 + [0 1;0 0].X2 [a] = [1;1] [b] = 0 [F](X1,X2) = [1 0;1 1].X2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(a,f(b,f(a,x:S))) -> f(a,f(b,f(b,f(a,x:S)))) f(b,f(b,f(b,x:S))) -> f(b,f(b,x:S)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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